Partial regularity for optimal transport with p-cost away from fixed points.
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| Název: | Partial regularity for optimal transport with p-cost away from fixed points. |
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| Autoři: | Goldman, Michael, Koch, Lukas |
| Zdroj: | Proceedings of the American Mathematical Society; Sep2025, Vol. 153 Issue 9, p3959-3970, 12p |
| Témata: | TRANSPORTATION costs, COST functions, FIXED point theory, HOLDER spaces |
| Abstrakt: | We consider maps T solving the optimal transport problem with a cost c(x-y) modeled on the p-cost. For Hölder continuous marginals, we prove a C^{1,\alpha }-partial regularity result for T in the set \{\lvert T(x)-x\rvert >0\}. [ABSTRACT FROM AUTHOR] |
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| Databáze: | Complementary Index |
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